ASSESSMENT OF THE ACCURACY OF THE DEVELOPED FORECAST OF THE STUDENT POPULATION IN FULL-TIME GENERAL SECONDARY EDUCATION INSTITUTIONS

V. Gapon, Liudmyla Chymbay
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Abstract

In recent years, the development trends of the general secondary education in Ukraine formed under the influence of the negative demographic situation, have particularly highlighted the problem of defining and implementing a strategy for further reform and development faced by the education management authorities. Solving issues is impossible without planning for the future and forecasting calculations of statistical and analytical indicators requiring continuous improvement of economic and mathematical models, as well as mathematical and statistical methods of analysis. As the initial data for forecasting, the information from the State Statistics Service on the birth rate of children in Ukraine for the years 2008-2015, the information from the statistical reporting form № 76-RVK "Consolidated Report of General Secondary Education Institutions" for the period of 2014/2015-2020/2021 academic years was used. The article presents the results of calculating the accuracy of forecast estimation of the number of first-graders and the contingent of students in full-time general secondary education institutions (excluding special institutions) for the 2020/2021 academic year. In the course of the research, the analysis of scientific publications was carried out, which proved the relevance of developing methods for calculating forecast values of key indicators of the general secondary education, assessing the accuracy of the forecast and the need for further study. Actual values of indicators obtained as a result of processing statistical data for the beginning of the 2020/2021 academic year made it possible to verify the adequacy of the developed forecasting model and calculate mathematical features of the accuracy of forecasting (absolute and relative deviation between the actual and projected values of the studied indicators). The obtained results show that the numerical values of the forecast estimate for most regions are within the statistical error and prove a high level of accuracy of the forecast of these indicators. In our opinion, a promising area of further research is to improve the methodology for forecasting key indicators of the general secondary education system, taking into account the challenges of martial law and the aggression of the russian federation in Ukraine (destroyed and damaged secondary schools, forced migration of students and teachers, etc.). To do this, it is necessary to develop economic and mathematical models taking into account a number of factors and define additional criteria for optimal models.
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评估全日制普通中等教育院校学生人数发展预测的准确性
近年来,在不利的人口状况的影响下,乌克兰普通中等教育的发展趋势特别突出了教育管理当局所面临的确定和执行进一步改革和发展战略的问题。没有对未来的规划和统计分析指标的预测计算,就不可能解决问题,这需要不断改进经济和数学模型,以及数学和统计分析方法。作为预测的初始数据,使用了乌克兰国家统计局2008-2015年儿童出生率的信息,以及2014/2015-2020/2021学年的第76-RVK“普通中等教育机构综合报告”统计报告表中的信息。本文介绍了对2020/2021学年全日制普通中等教育机构(不包括特殊院校)一年级学生人数和学生队伍预测估计准确性的计算结果。在研究过程中,对科学出版物进行了分析,证明了制定普通中等教育关键指标预测值计算方法、评估预测准确性和进一步研究的必要性。通过对2020/2021学年开始的统计数据进行处理,得到了指标的实际值,从而可以验证所建立的预测模型的充分性,并计算出预测精度的数学特征(所研究指标的实际值与预测值之间的绝对和相对偏差)。结果表明,大部分地区的预报估计值都在统计误差范围内,表明这些指标的预报精度较高。我们认为,进一步研究的一个有希望的领域是改进预测普通中等教育系统关键指标的方法,同时考虑到戒严令的挑战和俄罗斯联邦在乌克兰的侵略(摧毁和破坏中学,强迫学生和教师迁移等)。要做到这一点,有必要开发考虑到许多因素的经济和数学模型,并为最佳模型定义额外的标准。
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